Surface area of cylinders | Maths | Quizalize & Oak National Academy

Starter quiz

The area of a rectangle with a width of 6 cm and a length of 14 cm is ______ $\text{ cm}^2$ .

'84' ✓
What is the area of a circle, with a radius of 5 cm?

$5\pi\text{ cm}$

$25\pi\text{ cm}$

$5\pi\text{ cm}^2$

$10\pi\text{ cm}^2$

$25\pi\text{ cm}^2$ ✓
The area of a circle with a diameter of 16 cm, has an area of ______ $\pi \text{ cm}^2$ .

'64' ✓
The surface area is the total area of all the surfaces of a closed ______ shape. The surfaces include all faces and any curved surfaces.

'3D' ✓
A cuboid has dimensions 4 cm, 6 cm and 15 cm. Select all the areas of its surfaces.

$10\text{ cm}^2$

$24\text{ cm}^2$ ✓

$60\text{ cm}^2$ ✓

$90\text{ cm}^2$ ✓

$360\text{ cm}^2$
A cube has a surface area of 294 $\text{ cm}^2$ . The area of each face is ______ $\text{ cm}^2$ .

'49' ✓

A cylinder is a type of prism. True or false?

True - it has a uniform cross-section throughout the length.

False - the uniform cross-section is not a polygon. ✓
A ______ is a 3D shape with a base that is a circle and a parallel opposite face that is identical. A cross-section of a cylinder made parallel to the base is congruent to the base.

'cylinder' ✓
Which of these is a net of a cylinder?
Which of these is the formula for the surface area of any cylinder, where $r$ is the radius and $h$ is the height?

$\text{Surface area}=\pi r^2+\pi rh$

$\text{Surface area}=2\pi r^2+\pi rh$

$\text{Surface area}=2\pi r^2+2\pi rh$ ✓

$\text{Surface area}=2\pi r(r+h)$ ✓

$\text{Surface area}=2(\pi r)^2 +2 \pi rh$
The surface area of a cylinder with a diameter of 10 cm and a height of 7 cm is ______ $\pi \text{ cm}^2.$

'120' ✓
A cylinder has a surface area of $72\pi \text{ cm}^2$ and a radius of 3 cm. What is the length of the cylinder?

8 cm

9 cm ✓

10 cm

10.5 cm

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Pupils may overlook whether they have been given the diameter or radius of the circles.

Encourage pupils to always write down the radius before any calculation of the surface area is started.

Cylinder - a 3D shape with a base that is a circle and a parallel opposite face that is identical. Cross sections parallel to the base are uniform.